3 10pt Let fx 8x25x Compute and simpli fy fxhyfxy ath for

3. (10pt) Let f(x) = 8x2-5x . Compute and simpli fy f(x+hy-f(xy ath-) ,for h#0

f(x)= 8x²-5x

f(x+h)=8(x+h)²-5(x+h) =8x²+8h²+16xh -5x-5h

f(x+h)-f(x)= 8x²+8h²+16xh-5x-5h-8x²+5x=8h²+16xh-5h

Therefore (f(x+h)-f(x))/h=8h+16x-5

3. (10pt) Let f(x) = 8x2-5x . Compute and simpli fy f(x+hy-f(xy ath-) ,for h#0 Solutionf(x)= 8x2-5x f(x+h)=8(x+h)2-5(x+h) =8x2+8h2+16xh -5x-5h f(x+h)-f(x)= 8x2

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